I think by leaving it up it's possible more people are aware of the background. However, I also think leaving it up potentially allows a platform for people to spout bigotry - as so often appears to be the case with these types of social media posts.
Because their political stance on this issue is not exactly a secret. It's not a matter of much moral calculus to say 'Nah, I'll get not bigoted chicken instead' and then decide to never eat Chick-fil-A again.
Yeah, I was referencing a person eating a chicken sandwich and then after the fact finding out that the place where he got the sandwich was founded by a bigot and then agreeing that he shouldn’t have eaten there.
This, to me, is not a story worth sharing or propagating.
However, Twitters effed up policy’s should be examined. I see the two as completely separate.